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Finding the Fourth Proportional to 92.85, 138.61 and 77.66

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Solution

The fourth proportional to 92.85, 138.61 and 77.66 is: 115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.85 : 138.61 = 77.66 : x
  2. Step 2: Convert to fraction form
    92.85/138.61 = 77.66/x
  3. Step 3: Cross multiply
    92.85x = 138.61 × 77.66
  4. Step 4: Simplify right side
    92.85x = 10,764.38
  5. Step 5: Solve for x
    x = 10,764.38/92.85
  6. Step 6: Final answer
    x = 115.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.